Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation

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Three-Dimensional Solid Brick Element Using Slopes in the Absolute Nodal Coordinate Formulation (2014, methodology): “Dmitrochenko and Pogorelov proposed a method that generates finite elements that use the ANCF by generalizing displacement fields and degrees of freedom of conventional finite elements [16].”
Nonlinear static and dynamic analysis of hyper-elastic thin shells via the absolute nodal coordinate formulation (2016, methodology): “S is the 3 × 36 shape function matrix of the shell element, which is defined as [13,14] S = [ S1I3 S2I3 · · · S12I3 ] , (3)”
Implicit and explicit integration in the solution of the absolute nodal coordinate differential/algebraic equations (2008, background): “One approach that bears potential for the successful integration of large deformation finite element and multibody system algorithms is based on the absolute nodal coordinate formulation (ANCF) [2–4, 12, 14–16].”